Results 51 to 60 of about 228 (77)

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

Alexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun, Mohammad Asif Arefin, M. Zohurul Islam, M. Ali Akbar, M. Hafiz Uddin   +4 more
doaj  

The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations

Alexandria Engineering Journal, 2020
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj  

Analytical behavior of weakly dispersive surface and internal waves in the ocean

Journal of Ocean Engineering and Science, 2022
The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin, Md. Abu Saeed, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj  

The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation

, 2011
The Gerdjikov-Ivanov (GI) system of $q$ and $r$ is defined by a quadratic polynomial spectral problem with $2 \times 2$ matrix coefficients. Each element of the matrix of n-fold Darboux transformation of this system is expressed by a ratio of $(n+1 ...
Gerdjikov V. S., Jingsong He, Pei L. M., Shuwei Xu, Zakharov V. E.   +4 more
core   +1 more source

Solitary wave solutions and investigation the effects of different wave velocities of the nonlinear modified Zakharov–Kuznetsov model for the wave propagation in nonlinear media

Partial Differential Equations in Applied Mathematics, 2023
The modified Zakharov-Kuznetsov (mZK) model convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics ...
Farah Umme Afrin
doaj  

On 4-Dimensional J-Invariant Shrinking Ricci Solitons

, 2014
As of today, there are very few known complete shrinking Ricci solitons in dimension 4, and all examples discovered so far are K\"ahler and/or Einstein.
Fong, Frederick Tsz-Ho
core  

The agreement between novel exact and numerical solutions of nonlinear models

Partial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj  

Signatures of partition functions and their complexity reduction through the KP II equation

, 2018
A statistical amoeba arises from a real-valued partition function when the positivity condition for pre-exponential terms is relaxed, and families of signatures are taken into account.
Baxter R. J., Bjorner A., Cover T. M., Dubrovin B., Feynman R. P., Feynman R. P., Gantmacher F. R., Gelfand I. M., Hastie T., Hirota R., Hogben L., Kleinert H., Landau L. D., Ma P., Mario Angelelli, Miwa T., Richter-Gebert J., Sato M.   +17 more
core   +1 more source

Self-similar solutions to the mean curvature flow in $\mathbb{R}^{3}$

, 2020
In this paper we make an analysis of self-similar solutions for the mean curvature flow (MCF) by surfaces of revolution and ruled surfaces in $\mathbb{R}^{3}$.
Leandro, Benedito, Novais, Rafael, Reis, Hiuri F. S. dos   +2 more
core  

Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]

Heliyon, 2023
Khater MMA.
europepmc   +1 more source